Hurry !!Answer each question about the following
geometric series
10
k-1
What is the first term of the series?
a =
S10 - 3(2)k-1
RETRY
k-1
How many terms are in the series?
1
2
9
✓
10
COMPLETE

Answer:

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

[tex]a=\pi r^2/2[/tex]

3.14 will be used for pi!

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

[tex]a=lw[/tex]

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

[tex]32/2=16[/tex]

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

[tex]\pi 16^2/2=401.92[/tex]

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

[tex]14*32=448.[/tex]

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

[tex]401.92+448[/tex]

[tex]=849.92[/tex]

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

Answer:

Step-by-step explanation:

rather than doing all of the sums, you should just learn the formula (for the pattern)

it is n(highest + lowest) where n is number of numbers

             2

for example 2+3+4+5+6 = 20

5(6+2) =  20

  2

~~~~~~~~~~~~~~~~~~~~

1+2+3+4+5+6+7+8 = 36

8(9) = 72/2= 36

2

The fraction of  42 that is 6 is mathematically given as

42*1/7

Generally, the equation for the statement is mathematically given as

42/x=6

Therefore

x=42/5

x=7

In conclusion, The fraction of  42 that is 6  is

42*1/7

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Step-by-step explanation:

answer is in photo above

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the line y +2 = 1/2 (x + 2), can be drawn as shown below. Therefore, the line will be a straight line passing through (0,-1) on the y-axis, and (2,0) on the x-axis.

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Answer:

5/6 hours

Step-by-step explanation:

Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:

[tex]\frac{1/5}{1}[/tex] = [tex]\frac{1/6}{x}[/tex]

Cross multiply and solve for x:

1/5x = 1/6

x = 5/6

So, it will take the tortoise 5/6 hours to walk 1/6 of a mile

Bread is usually fine to eat if you don't see any mold.

Once refrigerated, it will retain its freshness for three to four days before becoming stale. If you want to extend its shelf life, packaged bread will stay fresh for at least three months in the freezer. If you do see mold, however, throw the bread out.

Answer:

It is not a solution

Step-by-step explanation:

Plug the point into the equations and check to see if they are true

y=3x - 3

3 = 3(6) -3

3 = 18-3

3 = 15

False

We do not need to check the other equation since this is false

Answer:

answer is 45 + 5 so it's 50

Answer:

-2X-4<14

-2X<18

X>9

Step-by-step explanation:

Answer:

168 cm²

Step-by-step explanation:

altura = 3/7 × 28 = 12 cm

area = ½×28×12 = 168 cm²

Answer:

(k × f)(x) = 2x³ + x²

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

k(x) = 2x + 1

(k × f)(x) = k(x)f(x)

Step 2: Find

Answer:

24

Step-by-step explanation:

Based on the number of flowers and teachers left, the other ways Helena can distribute the other flowers is in 24 combinations.

This can be found as:

= (4 flowers left x 3 flowers after 4th teacher given x 2 flowers x 1 flower for last teacher)

Solving gives:

= 4 x 3 x 2 x 1

= 24 combinations

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Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

An obtuse angle

Step-by-step explanation:

Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,

acute: degree measure between (0) and (90) degrees

right: exactly (90) degrees,

obtuse: degree measure between (90) and (180) degrees

reflex: degree measure between (180) and (360) degrees

Answer:

x = 6 m

Step-by-step explanation:

x = 16sin22°

x = 6.0 m

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

8 * 5 = 40

40 * 10 = 400

√400 = 20

Answer:

20

Step-by-step explanation:

sqrt(8*5*10)

sqrt(400)

sqrt(20*20)

20

Answer:

NOT  A or B

probably C ?

Step-by-step explanation:

Answer:

3x² + 8x + 1

Step-by-step explanation:

Given

4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis

= 4x² - 4 - x² + 8x + 5 ← collect like terms

= 3x² + 8x + 1

Answer:

[tex](l,w) = (1,17)[/tex]

[tex](l,w) = (2,16)[/tex]

[tex](l,w) = (3,15)[/tex]

---

---

-

[tex](l,w) = (9,9)[/tex]

Step-by-step explanation:

Given

[tex]P = 36ft[/tex] --- perimeter

[tex]l \to length[/tex]

[tex]w \to width[/tex]

Required

Possible dimension of different parallelogram

The perimeter is calculated as:

[tex]P=2(l+w)\\\\\\[/tex]

So,we have:

[tex]2(l+w)=36[/tex]

Divide by 2

[tex]l + w = 18[/tex]

Since l and w must be positive integers, the possible dimensions are:

[tex](l,w) = (1,17)[/tex]

[tex](l,w) = (2,16)[/tex]

[tex](l,w) = (3,15)[/tex]

---

---

-

[tex](l,w) = (9,9)[/tex]

Answer:

16

Step-by-step explanation:

they got 16 all together in total

Answer:

$10x

Step-by-step explanation:

We know that Krystal got $10 from his father but we don't know how much Krystal got from his mother because there's just x for the amount. So, we can just write that Krystal got $10x altogether.

Hope this helps

Here,

BC = 12

CD+BD=12

2x-9+x-9 =12

3x-18 12

3x =12+18

x =30/3

x =10

Now,

CD = 2x-9

= 2×10-9

= 20-9

= 11

Therefore,CD = 11

Hope this solution may help you!!☺

The value of the segment CD is 11 units for the given line segment.

A line segment is a fundamental geometric object that represents a portion of a straight line with defined endpoints. It is a finite portion of a line that connects two distinct points. The endpoints of a line segment are specific points that mark its boundaries.

From the given image the value of x will be calculated as,

CD + DE = 12

(2x - 9 ) + ( x - 9 ) = 12

3x - 18 = 12

3x = 30

x = 10

The measure of the segment CD is,

CD = 2x - 9

CD = 2(10) - 9

CD = 20 - 19

CD = 11

Therefore, the value of the segment is 11.

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Answer:

[tex]f(x) = 3 (x+1)^{2}[/tex]

Step-by-step explanation:

Answer:

[tex]mode = l _{1} + ( \frac{d _{1} }{d _{1} + d _{2}} ) \times c \\ \\ = 6.5 + (\frac{50}{50 + 88} ) \times 3 \\ = 7.59[/tex]

Answer:

(x + (2), y - (4))

Step-by-step explanation:

An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.

In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,

(x + (2), y - (4))

Answer:

it's second option

[tex]5 \times \frac{2}{5} [/tex]

Step-by-step explanation:

for this change them to points so it be easier to solve

[tex] \frac{2.25}{x} = \frac{1.5}{3.6} \\ \\ x = \frac{3.6 \times 2.25}{1.5} = 5.4[/tex]

and then 5.4 equals 5(2/5)

Answer:

the answers are (2;1)(-3;-2)(-3;4)

Step-by-step explanation:

Answer:

A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.

Step-by-step explanation: i just learned this

Answer:

2y +6x=4

Step-by-step explanation:

2y=4-6x

y =(4-6x)÷2

Answer:

10 cm

Step-by-step explanation:

In a right triangle, there are three sides, A, B, and C.

A and B are the short sides, while C is the long side.

So we know that A = 6 cm, and B = 8 cm.

We can then use the Pythagorean theorem which states that

[tex]C=\sqrt{(A^2)+(B^2)[/tex]

Once we plug in the numbers we get

[tex]C=\sqrt{6^2+8^2}[/tex]

[tex]C=\sqrt{36+64}[/tex]

[tex]C=\sqrt{100}[/tex]

C=10 cm

Answer:

12 units

Step-by-step explanation:

the perimeter = 3 + 4 + 5 = 12 units

The perimeter of a triangle is 12 cm.

To find the perimeter of the triangle.

What is triangle?

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.

Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

 Distance = √ ( (x2 - x1)2 + (y2 - y1)2 )

Points A and B:

d = √(-3 +3)2 + (2 - 5)2

d = √ 0 + 9

d = √9

d = 3

Points B and C:

d = √ (1+ 3)2 + (2 -2)2

d = √ 16 + 0

d = √ 16

d = 4

Points C and A:

d = √ (-3 - 1)2 + (2 -5)2

d = √ 16 + 9

d = √ 25

d = 5

Perimeter=  3 + 5 + 4 = 12

So,  the perimeter of a triangle is 12 cm.

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